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2/5x-12=4/5x+2
We move all terms to the left:
2/5x-12-(4/5x+2)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x+2)!=0We get rid of parentheses
x∈R
2/5x-4/5x-2-12=0
We multiply all the terms by the denominator
-2*5x-12*5x+2-4=0
We add all the numbers together, and all the variables
-2*5x-12*5x-2=0
Wy multiply elements
-10x-60x-2=0
We add all the numbers together, and all the variables
-70x-2=0
We move all terms containing x to the left, all other terms to the right
-70x=2
x=2/-70
x=-1/35
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